Exact and Semisimple Differential Graded Algebras

2002/01/01 by S. Tempest Aldrich, S.Tempest Aldrich, J. R. García Rozas
Mathematics · #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1080/00927870209342371

Abstract

Abstract In this paper we provide a classification theorem and a structure theorem for exact differential graded algebras, and we use the classification theorem to show that a differential graded algebra A is semisimple (as a differential graded algebra) precisely when the graded algebra Z(A) is semisimple (as a graded algebra) and A is an exact complex. We also relate exact differential graded algebras with a graded version of Hochschild cohomology.

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